Propagation of singularities for semiconcave solutions of Hamilton-Jacobi equations

Parallel sessionInternational audienceGiven a semiconcave solution u of an evolutionary Hamilton-Jacobi equation, we are interested in the structure of the singular set of u, i.e. the set of points of non-differentiability of u. We provide conditions on the Hamiltonian that guarantee the propagation of any singularity along the generalized characteristic starting from the point